Reshaping of Distorted Signal with Low-Pass Type Negative Group Delay RL-network Circuit

A signal reshaping method based-on the application of low-pass (LP) type negative group delay (NGD) of a resistive-inductive (RL) circuit is developed in this article. To enhance comprehension of the LP-NGD design, an analytical theory of the RL-network topology considered for the signal reshaping is developed using voltage transfer function exploration. The main NGD characteristics, such as time-advance, NGD value and NGD cut-off frequency are defined. Design equations for calculating resistors and inductors that constitute the RL topology are formulated based on the targeted time-advance. After printed circuit boards (PCB) designed from an expected −0.5 ms time advance, two proofs-of-concept (PoC) dedicated to two test signals are examined to validate the NGD application method. Time-domain simulations and measurements, which closely match with a 38 ms duration pulse signal, confirm the developed signal reshaping method’s feasibility by improving the input–output signal fidelity assessed with correlation coefficient from 57 to 99%. For arbitrary waveform one, it is improved from 32.5 to 99%. The signal reshaping NGD method is particularly useful for improving electronic circuit board and sensor performances through signal integrity enhancement.